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Chaotic Behaviour Of Deterministic Dissipative Systems


Chaotic Behaviour Of Deterministic Dissipative Systems
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Chaotic Behaviour Of Deterministic Dissipative Systems


Chaotic Behaviour Of Deterministic Dissipative Systems
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Author : Milos Marek
language : en
Publisher: Cambridge University Press
Release Date : 1995-07-20

Chaotic Behaviour Of Deterministic Dissipative Systems written by Milos Marek and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-20 with Science categories.


This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.



Chaotic Behaviour Of Deterministic Systems


Chaotic Behaviour Of Deterministic Systems
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Author : Gérard Iooss
language : en
Publisher: North-Holland
Release Date : 1983

Chaotic Behaviour Of Deterministic Systems written by Gérard Iooss and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Science categories.




Dynamic Modelling Bifurcation And Chaotic Behaviour Of Gas Solid Catalytic Reactors


Dynamic Modelling Bifurcation And Chaotic Behaviour Of Gas Solid Catalytic Reactors
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Author : S. S. E. H. Elnashaie
language : en
Publisher: CRC Press
Release Date : 1996-03-18

Dynamic Modelling Bifurcation And Chaotic Behaviour Of Gas Solid Catalytic Reactors written by S. S. E. H. Elnashaie and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-03-18 with Science categories.




Chaotic And Stochastic Behaviour In Automatic Production Lines


Chaotic And Stochastic Behaviour In Automatic Production Lines
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Author : Max-Olivier Hongler
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-09

Chaotic And Stochastic Behaviour In Automatic Production Lines written by Max-Olivier Hongler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-09 with Science categories.


Inspired by the general configuration characteristics of automatic production lines, the author discusses the modelisation of important sectors of a factory. Typical topics such as parts feeders, part orienting devices, insertion mechanisms and buffered flows are analysed using random evolution models and non-linear dynamical systems theory.



New Advances On Chaotic Intermittency And Its Applications


New Advances On Chaotic Intermittency And Its Applications
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Author : Sergio Elaskar
language : en
Publisher: Springer
Release Date : 2016-12-14

New Advances On Chaotic Intermittency And Its Applications written by Sergio Elaskar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-14 with Technology & Engineering categories.


One of the most important routes to chaos is the chaotic intermittency. However, there are many cases that do not agree with the classical theoretical predictions. In this book, an extended theory for intermittency in one-dimensional maps is presented. A new general methodology to evaluate the reinjection probability density function (RPD) is developed in Chapters 5 to 8. The key of this formulation is the introduction of a new function, called M(x), which is used to calculate the RPD function. The function M(x) depends on two integrals. This characteristic reduces the influence on the statistical fluctuations in the data series. Also, the function M(x) is easy to evaluate from the data series, even for a small number of numerical or experimental data. As a result, a more general form for the RPD is found; where the classical theory based on uniform reinjection is recovered as a particular case. The characteristic exponent traditionally used to characterize the intermittency type, is now a function depending on the whole map, not just on the local map. Also, a new analytical approach to obtain the RPD from the mathematical expression of the map is presented. In this way all cases of non standard intermittencies are included in the same frame work. This methodology is extended to evaluate the noisy reinjection probability density function (NRPD), the noisy probability of the laminar length and the noisy characteristic relation. This is an important difference with respect to the classical approach based on the Fokker-Plank equation or Renormalization Group theory, where the noise effect was usually considered just on the local Poincaré map. Finally, in Chapter 9, a new scheme to evaluate the RPD function using the Perron-Frobenius operator is developed. Along the book examples of applications are described, which have shown very good agreement with numerical computations.



Chaos In Nonlinear Oscillators Controlling And Synchronization


Chaos In Nonlinear Oscillators Controlling And Synchronization
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Author : M Lakshmanan
language : en
Publisher: World Scientific
Release Date : 1996-06-28

Chaos In Nonlinear Oscillators Controlling And Synchronization written by M Lakshmanan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-28 with Science categories.


This book deals with the bifurcation and chaotic aspects of damped and driven nonlinear oscillators. The analytical and numerical aspects of the chaotic dynamics of these oscillators are covered, together with appropriate experimental studies using nonlinear electronic circuits. Recent exciting developments in chaos research are also discussed, such as the control and synchronization of chaos and possible technological applications.



Nonlinear Dynamics Chaotic And Complex Systems


Nonlinear Dynamics Chaotic And Complex Systems
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Author : Eryk Infeld
language : en
Publisher: Cambridge University Press
Release Date : 1997-06-19

Nonlinear Dynamics Chaotic And Complex Systems written by Eryk Infeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-06-19 with Mathematics categories.


The physics and mathematics of nonlinear dynamics, chaotic and complex systems constitute some of the most fascinating developments of late twentieth century science. It turns out that chaotic bahaviour can be understood, and even utilized, to a far greater degree than had been suspected. Surprisingly, universal constants have been discovered. The implications have changed our understanding of important phenomena in physics, biology, chemistry, economics, medicine and numerous other fields of human endeavor. In this book, two dozen scientists and mathematicians who were deeply involved in the "nonlinear revolution" cover most of the basic aspects of the field.



Chaos Noise And Fractals


Chaos Noise And Fractals
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Author : E. Roy Pike
language : en
Publisher: CRC Press
Release Date : 2020-08-26

Chaos Noise And Fractals written by E. Roy Pike and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-26 with Mathematics categories.


The study of nonlinear dynamical systems has been gathering momentum since the late 1950s. It now constitutes one of the major research areas of modern theoretical physics. The twin themes of fractals and chaos, which are linked by attracting sets in chaotic systems that are fractal in structure, are currently generating a great deal of excitement. The degree of structure robustness in the presence of stochastic and quantum noise is thus a topic of interest. Chaos, Noise and Fractals discusses the role of fractals in quantum mechanics, the influence of phase noise in chaos and driven optical systems, and the arithmetic of chaos. The book represents a balanced overview of the field and is a worthy addition to the reading lists of researchers and students interested in any of the varied, and sometimes bizarre, aspects of this intriguing subject.



Chaos In Chemistry And Biochemistry


Chaos In Chemistry And Biochemistry
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Author : Richard J. Field
language : en
Publisher: World Scientific
Release Date : 1993

Chaos In Chemistry And Biochemistry written by Richard J. Field and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Science categories.


True deterministic chaos is characterized by unpredictable, apparently random motion in a dynamical system completely described by a deterministic dynamic law, usually a nonlinear differential equation, with no stochastic component. The inability to predict future behavior of a chaotic system occurs because trajectories evolving from arbitrarily close initial conditions diverge. Chaos is universal as it may arise in any system governed by one of a class of quite common, suitable nonlinear dynamic laws. This book discusses both the experimental observation and theoretical interpretation of chaos in chemical and biochemical systems. Examples are drawn from the Belousov-Zhabotinsky reaction, surface reactions, electrochemical reactions, enzyme reactions, and periodically perturbed oscillating systems.



Analytical Mechanics


Analytical Mechanics
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Author : Louis N. Hand
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-13

Analytical Mechanics written by Louis N. Hand and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-13 with Science categories.


Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.